Of course! I can assume the resulting circle will touch both x=1 and the arm at 45 degrees, that didn't occur to me. Thank you! I will have to adjust to account for the width of the arm, but I think that would be easy.
I have a problem that I imagine does not have a closed-form solution and requires the use of some kind of optimization solver. I am not an engineer myself, so forgive me if the question seems stupid.
The problem is as follows: I have a circle bound in a square, and an arm going from the center...